Non-commuting graph of the dihedral group determined by Hosoya parameters
Alexandria Engineering Journal, 2022 Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman +4 more
doaj
Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring [PDF]
, 2006 Let R be an arbitrary commutative ring with identity, gl(n,R) the general linear Lie algebra over R. The aim of this paper is to give an explicit description of the derivation algebras of the parabolic subalgebras of gl(n,R)
Wang, Dengyin, Yu, Qiu
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A FIXED POINT THEOREM FOR VOLUME PRESERVING LINEAR TRANSFORMATIONS
, 2016 In this note we derive consequences of the fact that if g ∈ SL(n), where n ≥ 2, and σi(g) are the coefficients of its characteristic polynomial, then g has 1 as an eigenvalue if and only if ∑ n−1 i=1 (−1) σi(g) = 0 or 2 according to the parity of n ...
M. Moskowitz
semanticscholar +1 more source
Idempotency of linear combinations of three idempotent matrices, two of which are disjoint [PDF]
, 2004 Given nonzero idempotent matrices A1,A2,A3 such that A2 and A3 are disjoint, i.e., A2A3=0=A3A2, the problem of characterizing all situations, in which a linear combination C=c1A1+c2A2+c3A3 is an idempotent matrix, is studied.
Baksalary, Oskar Maria
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Matrices that commute with their derivative. On a letter from Schur to Wielandt
, 2012 We examine when a matrix whose elements are differentiable functions in one variable commutes with its derivative. This problem was discussed in a letter from Issai Schur to Helmut Wielandt written in 1934, which we found in Wielandt's Nachlass.
Adkins +33 more
core +2 more sources
Maximal doubly stochastic matrix centralizers [PDF]
, 2017 We describe doubly stochastic matrices with maximal central-izers.info:eu-repo/semantics ...
Cruz, Henrique F. da +3 more
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Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space [PDF]
, 2002 In this paper we classify linear maps preserving commutativity in both directions on the space N(F) of strictly upper triangular (n+1)×(n+1) matrices over a field F.
Cao, You'an, Chen, Zhonghu, Huang, Chong
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A note on clean elements and inverses along an element [PDF]
, 2018 Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an element of R is called invertible along d if there exists unique a(parallel to d) such that a(parallel to d) ad = d = daa(parallel to d) and a(parallel to d )is
Patrício, Pedro, Zhu, Huihui
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The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition [PDF]
, 2018 Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained from the nilpotent part of this decomposition.
Mingueza, David +2 more
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Almost commuting permutations are near commuting permutations [PDF]
, 2015 We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our result extends to $k$-tuples of almost commuting permutations, for any given $
Arzhantseva, Goulnara, Paunescu, Liviu
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